57. Light of wavelength 400 nm falls on a metal surface having a work function 1.70 eV. What is the maximum kinetic energy of the photoelectrons emitted from the metal?
(A) 1.41 eV
(B) 1.70 eV
(C) 2.82 eV
(D) 3.11 eV
(E) 4.51 eV

53. A square 10-turn coil with edge-length 50 cm carries a current of 2 A. ft lies in the xy plane with magnetic moment in the z direction. ft is placed in a uniform magnetic field (T). What is the magnetic potential energy of the coil in the magnetic field?(A) -2 Joule (B) -1.5 Joule (C) 1.5 Joule (D) 2 Joule (E) 2.4 Joule

54. An observer on the Earth measures the speed of spacecraft A to be 0.50c and the speed of spacecraft B to be -0.40c. What is the velocity of spacecraft B as observed by the crew on spacecraft A? (Here c is thespeed of light. The Lorentz velocity transformation is )(A) -c/6 (B) -3c/5 (C) -2c/5 (D) -c/4 (E) -3c/4

55. Two sources of light illuminate a double slit simultaneously. One has wavelength 570 nm and the second has an unknown wavelength. The fifth bright fringe (m=5) of the unknown wavelength overlaps the forth bright fringe (m=4) of the light of 570 nm wavelength. What is the unknown wavelength?(A) 326 nm (B) 380 nm (C) 456 nm (D) 512 nm (E) 713 nm

56. A family member is ready to have a brain scan using technetium-99*, an excited isotope with 6.0-hour half-life. The hospital makes this short-lived Tc-99* from the decay of molybdenum-99 then delivers it to the nuclear medicine department. After production of Tc-99*, the hospital staff takes 90 minutes to transport it to the operating room. What is an appropriate amount of Tc-99* to be produced by the technician-in-charge for the medical requirement of 10 mg of Tc-99*?(A) 10 mg (B) 12 mg (C) 16 mg (D) 20 mg (E) 24 mg

58. You wish to pick an element for a photocell that will operate via the photoelectric effect withvisible light. Which of the following is suitable? (hc/e=1.2398× eV⋅m, the wavelength ofvisible light: 380 ~ 750 nm)(A) Silver (4.26 eV) (B) Copper (4.5 eV) (C) Aluminum (4.06 eV)(D) Magnesium (3.66 eV) (E) Sodium (2.36 eV)

59. X-rays are produced by bombarding a tungsten target with high-energy electrons. The K-shell electron is ejected, and then an L-shell electron jumps to the K-shell and releases an X-ray photon.The binding energies of shell and orbital are listed in the table. Estimate the energy of this X-ray photon.(A) 10 keV (B) 12 keV (C) 58 keV (D) 69 keV (E) 81 keV

60. A beam of light with intensity 40 W/m2 is polarized along the y-axis asshown. This beam passes through a polarizing filter with a polarizationdirection that makes an angle θ=60° with the y-axis. What is the intensity ofthe light transmitted through the filter?(A) 5 W/m2 (B) 10 W/m2 (C) 20 W/m2 (D) 30 W/m2 (E) 35 W/m2

61. The observed osmotic pressure for a 0.10 M solution of M(SO4)2 at 27°C is 6.4 atm. Which of the following statements is correct regarding the expected and experimental values for i?(A) (B)(C)(D)(E)

62. How many of the following given molecules have all their atoms lying in the same plane?H2C=CH2, H2C=C=CH2, CH3COCH3, NH3, CO2, BeCl2(A) 2 (B) 3 (C) 4 (D) 5 (E) 6

63. The average osmotic pressure of human body fluids is approximately 7.7 atm. Suppose we want to prepare a solution of normal saline that is isotonic with human body fluids, using only NaCl as the solute. Assuming the density of the saline solution is 1 g/cm3 and the temperature is 37°C (normal body temperature), what would be the weight percent concentration of NaCl in this solution? (Assuming NaCl is 100% dissociation; Na=23.0 g/mol; Cl=35.5 g/mol)(A) 0.45 % (w/w) (B) 0.90 % (w/w) (C) 1.35 % (w/w)(D) 1.80 % (w/w) (E) 2.30 % (w/w)